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Simplifying 5(x + 6) = -3(4x + -6) + 7x Reorder the terms: 5(6 + x) = -3(4x + -6) + 7x (6 * 5 + x * 5) = -3(4x + -6) + 7x (30 + 5x) = -3(4x + -6) + 7x Reorder the terms: 30 + 5x = -3(-6 + 4x) + 7x 30 + 5x = (-6 * -3 + 4x * -3) + 7x 30 + 5x = (18 + -12x) + 7x Combine like terms: -12x + 7x = -5x 30 + 5x = 18 + -5x Solving 30 + 5x = 18 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 30 + 5x + 5x = 18 + -5x + 5x Combine like terms: 5x + 5x = 10x 30 + 10x = 18 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + 10x = 18 + 0 30 + 10x = 18 Add '-30' to each side of the equation. 30 + -30 + 10x = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 10x = 18 + -30 10x = 18 + -30 Combine like terms: 18 + -30 = -12 10x = -12 Divide each side by '10'. x = -1.2 Simplifying x = -1.2
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